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Finding the Fourth Proportional to 20,727.76, 31,082 and 6,685.16

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Solution

The fourth proportional to 20,727.76, 31,082 and 6,685.16 is: 10,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727.76 : 31,082 = 6,685.16 : x
  2. Step 2: Convert to fraction form
    20,727.76/31,082 = 6,685.16/x
  3. Step 3: Cross multiply
    20,727.76x = 31,082 × 6,685.16
  4. Step 4: Simplify right side
    20,727.76x = 207,788,143.12
  5. Step 5: Solve for x
    x = 207,788,143.12/20,727.76
  6. Step 6: Final answer
    x = 10,024.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.